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Simplifying 2x + x + 2 + 2x + 2x + 2 = 2x + 3x + 6 + x Reorder the terms: 2 + 2 + 2x + x + 2x + 2x = 2x + 3x + 6 + x Combine like terms: 2 + 2 = 4 4 + 2x + x + 2x + 2x = 2x + 3x + 6 + x Combine like terms: 2x + x = 3x 4 + 3x + 2x + 2x = 2x + 3x + 6 + x Combine like terms: 3x + 2x = 5x 4 + 5x + 2x = 2x + 3x + 6 + x Combine like terms: 5x + 2x = 7x 4 + 7x = 2x + 3x + 6 + x Reorder the terms: 4 + 7x = 6 + 2x + 3x + x Combine like terms: 2x + 3x = 5x 4 + 7x = 6 + 5x + x Combine like terms: 5x + x = 6x 4 + 7x = 6 + 6x Solving 4 + 7x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x 4 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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